3d-20=d(d-6)

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Solution for 3d-20=d(d-6) equation:


Simplifying
3d + -20 = d(d + -6)

Reorder the terms:
-20 + 3d = d(d + -6)

Reorder the terms:
-20 + 3d = d(-6 + d)
-20 + 3d = (-6 * d + d * d)
-20 + 3d = (-6d + d2)

Solving
-20 + 3d = -6d + d2

Solving for variable 'd'.

Combine like terms: 3d + 6d = 9d
-20 + 9d + -1d2 = -6d + d2 + 6d + -1d2

Reorder the terms:
-20 + 9d + -1d2 = -6d + 6d + d2 + -1d2

Combine like terms: -6d + 6d = 0
-20 + 9d + -1d2 = 0 + d2 + -1d2
-20 + 9d + -1d2 = d2 + -1d2

Combine like terms: d2 + -1d2 = 0
-20 + 9d + -1d2 = 0

Factor a trinomial.
(-5 + d)(4 + -1d) = 0

Subproblem 1

Set the factor '(-5 + d)' equal to zero and attempt to solve: Simplifying -5 + d = 0 Solving -5 + d = 0 Move all terms containing d to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + d = 0 + 5 Combine like terms: -5 + 5 = 0 0 + d = 0 + 5 d = 0 + 5 Combine like terms: 0 + 5 = 5 d = 5 Simplifying d = 5

Subproblem 2

Set the factor '(4 + -1d)' equal to zero and attempt to solve: Simplifying 4 + -1d = 0 Solving 4 + -1d = 0 Move all terms containing d to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1d = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1d = 0 + -4 -1d = 0 + -4 Combine like terms: 0 + -4 = -4 -1d = -4 Divide each side by '-1'. d = 4 Simplifying d = 4

Solution

d = {5, 4}

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